A) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t)
b) y''+y=tcost© BrainMass Inc. brainmass.com March 4, 2021, 6:20 pm ad1c9bdddf
Please see the attached file for the complete solution.
Thanks for using BrainMass.
General solution to a 2nd + 4th order DE
a) y'''' - 11y''' +45y"-81y'+54y = (t+1)e^(3t)
Solution. The characteristic equation is
Factoring it, we get
So, we get
So, the general solution to ODE: y'''' - 11y''' +45y"-81y'+54y =0 is
where a,b,c and d are constants.
Now in order to get the general solution to
y'''' - 11y''' +45y"-81y'+54y = ...
General Solutions to a 2nd and 4th Order ODE are found. The solution is detailed and well presented.